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Finding the Fourth Proportional to 4,512.06, 6,768.07 and 1,180.29

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Solution

The fourth proportional to 4,512.06, 6,768.07 and 1,180.29 is: 1,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.06 : 6,768.07 = 1,180.29 : x
  2. Step 2: Convert to fraction form
    4,512.06/6,768.07 = 1,180.29/x
  3. Step 3: Cross multiply
    4,512.06x = 6,768.07 × 1,180.29
  4. Step 4: Simplify right side
    4,512.06x = 7,988,285.34
  5. Step 5: Solve for x
    x = 7,988,285.34/4,512.06
  6. Step 6: Final answer
    x = 1,770.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.